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न,; डे Prove that -~ J st cos +sin O(1~-cosB) (1—tan®)2 (ICSE 2015) YL |
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Answer» cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos ALHS = cos A / (1 - tan A) + sin A /(1 - cot A) = cos^2A / (cos A - sin A) + sin^2A / (sin A - cos A) = cos^2A / (cos A - sin A) - sin^2A / (cos A - sin A) = (cos^2A - sin^2A) / (cos A - sin A) = (cos A + sin A) (cos A - sin A) / (cos A - sin A) = (cos A + sin A).Hence proved. |
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